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Finding the Fourth Proportional to 6,761, 10,141.51 and 4,923.81

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Solution

The fourth proportional to 6,761, 10,141.51 and 4,923.81 is: 7,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761 : 10,141.51 = 4,923.81 : x
  2. Step 2: Convert to fraction form
    6,761/10,141.51 = 4,923.81/x
  3. Step 3: Cross multiply
    6,761x = 10,141.51 × 4,923.81
  4. Step 4: Simplify right side
    6,761x = 49,934,868.35
  5. Step 5: Solve for x
    x = 49,934,868.35/6,761
  6. Step 6: Final answer
    x = 7,385.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.